Category Archives: Synergy 8

SMP-8: look for and express regularity in repeated reasoning #LL2LU

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We want every learner in our care to be able to say

I can look for and express regularity in repeated reasoning. (CCSS.MATH.PRACTICE.MP8)

But what if I can’t look for and express regularity in repeated reasoning yet? What if I need help? How might we make a pathway for success?

Level 4
I can attend to precision as I construct a viable argument to express regularity in repeated reasoning.

Level 3
I can look for and express regularity in repeated reasoning.

Level 2
I can identify and describe patterns and regularities, and I can begin to develop generalizations.

Level 1
I can notice and note what changes and what stays the same when performing calculations or interacting with geometric figures.

What do you notice? What changes? What stays the same?

Can we use CAS (computer algebra system) to help our students practice look for and express regularity in repeated reasoning?

What do we need to factor for the result to be (x-4)(x+4)?
What do we need to factor for the result to be (x-9)(x+9)?
What will the result be if we factor x²-121?
What will the result be if we factor x²-a2?

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We can also explore over what set of numbers we are factoring using the syntax we have been using. And what happens if we factor x²+1. (And then connect the result to the graph of y=x²+1.)

What happens if we factor over the set of real numbers?

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Or over the set of complex numbers? 

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What about expanding the square of a binomial? 

What changes? What stays the same? What will the result be if we expand (x+5)²?  Or (x+a)²?  Or (x-a)²? 

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What about expanding the cube of a binomial?  Or expanding (x+1)^n, or (x+y)^n?

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What if we are looking at powers of i?

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We can look for and express regularity in repeated reasoning when factoring the sum or difference of cubes. Or simplifying radicals. Or solving equations.

Through reflection and conversation, students make connections and begin to generalize results. What opportunities are you giving your students to look for and express regularity in repeated reasoning? What content are you teaching this week that you can #AskDontTell?

[Cross-posted on Easing the Hurry Syndrome]

 

 

Reflection: gift of time and reflection with Honors College learners

Leveraging the power of PLNs, Grant Lichtman (@GrantLichtman) connected Bo and me with Dave Ostroff (@DaveOstroff) sometime last summer.  In November, Grant suggested that I might enjoy spending a day learning with All Saints Episcopal School and Dave.  He was right.

Today the freshmen of the Tad Bird Honors College, Dave, and I gathered to learn together.  We accepted the challenge of the Gift Giving Project. Each member of this community committed to reflecting on some aspect of the experience tonight.  So, I am fulfilling my commitment to share what I learned from and with these 17 exceptional thinkers.

_________________________

I like the tone and spirit of this group of learners, because I felt invited and accepted even though I was a stranger.  I wonder if this was because it was the second day of class and everyone is new to each other, or if this is a cultural norm.  What if we intentionally designed learning to be this open and accepting of others in all classrooms? How might we change education and learning by having this strong open door, all are welcome attitude everywhere?

I wonder if these learners know how powerful their work is and will be as they continue to problem find and problem solve together. I like how easy it seemed for them to roll up their sleeves and do the critical empathy work to actively listen and probe to uncover the root problem of their user.  What if we apply this work to local and global problems? How might we serve our communities by taking the time to ask enough questions to really hear and uncover needs?

I really like how fearless these learners are in their pursuit of understanding others and how they might serve one another.  I wonder if their fearlessness is understood, noticed, and acknowledged.  How might we bright spot the beauty of the risk and reward of listening with your heart? What if we practice sharing the unnoticed gems that require such bravery?

I love seeing the ideation of ideas. I love seeing them turn their 2-D drawings into 3-D prototypes to visualize point of view and possibilities. I wonder about the impact of the process and the product. What if we took the time to show what we know and think by building models of our ideas? How might we embrace additional creativity, communication, and collaboration by such acts?

I love the stories that accompany the ideation and prototyping. I wonder how we might capture the emotion, energy, and connectedness in these stories to share with others. What if we build to learn, create to communicate, and share? How might we better understand each other?

_________________________

Accepted as a co-learner and embraced as a colleague, I learned with this community today.  How might we learn and share and connect and serve? What if we accept this as a responsibility?

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Brainwriting…collaborative brainstorming enhanced by Google Docs

Do the same members of the learning team contribute at every meeting, brainstorming session, and discussion?  Do we ever hear from everyone?  How do we offer others the opportunity to have their voices and ideas heard?

In Synergy and our PLCs, Bo and I have used Brainwriting from Gamestorming: A Playbook for Innovators, Rulebreakers, and Changemakers to hear from everyone, to help members of our community engage in the ideas of others, and to build collaborative thinking.  This process, described at gogamestorm.com, uses index cards as the collaborative tool.

Here’s an example from our Synergy 8 team.  They were asked to pick a problem at school they would like to address and brainstorm.  (I had to type it up from the big Post-it notes used in the Synergy Coffeehouse.)

I think that sleep is a big issue that we need to solve.  I think over half the students at [school] don’t get enough sleep, and that we need to fix that.  Everyone needs a good amount of sleep to function well at school.  I think we should do a survey just to make sure of how many people at [school] don’t get enough sleep.  We should research different ways to get more sleep and educate others on our findings.  It would also help if somehow we made schedule changes to help school start later.  I think this project will end up bettering the lives of the students at [school] and help them come to school everyday better prepared.  I would hope that we could change the time of school starting in order to aid not just the students at [school] but students everywhere to get more sleep.  It will take a lot of research and preparation to

Pretty great thinking from 12- and 13-year-olds, huh?  Just for a little more clarity, four different learners contributed to the piece above.  Here’s how their contributions built the idea above:

Originator:

I think that sleep is a big issue that we need to solve.  I think over half the students at [school] don’t get enough sleep, and that we need to fix that.  Everyone needs a good amount of sleep to function well at school.

Index card passes to new team member and ideas are carried forward:

I think we should do a survey just to make sure of how many people at [school] don’t get enough sleep.  We should research different ways to get more sleep and educate others on our findings.

Index card passes to a third team member:

It would also help if somehow we made schedule changes to help school start later.  I think this project will end up bettering the lives of the students at [school] and help them come to school everyday better prepared.

Index card shifts to a fourth team member:

I would hope that we could change the time of school starting in order to aid not just the students at [school] but students everywhere to get more sleep.  It will take a lot of research and preparation to

Time is called.

It is important to note that as this idea was growing, three other ideas were growing too. To be more clear, here is another brainwriting sample from this team.

Why do people cut in line?  How do we prevent line cutting?

  1. Find people who cut in line
  2. Interview them: why, when, how they avoid detection
  3. Remove the motivation: this will prevent cutting
  4. Is line cutting different in different grades?

All good questions! How can we know who and why people cut in line?  How could we make others aware of the “taking the motivation” of cutting away?

They should notice.  If people cut to get bagels, for example, we could move or remove the bagels.  Maybe if they are somewhere else the line will form differently and cutting won’t happen.  I think we need more empathy for others.

How does my cutting affect/impact the people in line behind me?  Would anyone tolerate a senior cutting in line in front of a 1st grader?  Would we allow that to happen?  What is the difference in cutting in line when others can’t “fight back?” How do we encourage our community to model and live the Golden Rule?

We have also used brainwriting with our teacher-learners in PLC to build ideas and understanding around PBL.  We have used brainwriting with our Department Integration Specialists to build common lessons on digital citizenship.

The brainwriting process is fantastic and yields great results.  The index cards and Post-it notes are bound to a physical space.  What if we shifted this experience to a set of Google docs?  Would we get the same good thinking?

John Burk outlined using Google docs to using brainwriting with a team in his Quantum Progress post Brainwriting to explore digital citizenship.

“Here’s how it works:

  1. In google docs, create a template document with a writing prompt, and then place that document inside that collection. For us, the prompt was “Describe how to serve, lead and grow in a community.”
  2. Share the document with your class or colleagues, and ask each person to create his/her own copy of the template, and rename it with his/her last name.
  3. Have each person write for 3 minutes on the prompt on their copy of the template.
  4. After three minutes, ask each person to switch to the next document in the list, read what is written and then add to that document in the voice of the original author.”

John continues in his post saying “Once you’ve got 3-4 rounds with this, you’ll be pretty amazed by how the entire group has created a collection documents that present a range of viewpoints and yet share many common threads.”

How do we teach collaboration, critical thinking, empathy, and divergent thinking?  How do we coach ourselves and others to listen and contribute to the ideas of others?

_________________________

If you have ideas of how to use brainwriting to create collaborative experiences to move teams, will you share them in the comments below?  Will you read another’s idea and extend it to learn and share?

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (After 3) Coffee and Dessert: What Will Sweeten Your Teaching After #CFTSI12?

On Monday and Tuesday, June 25-26, Bo Adams and Jill Gough facilitated a ten-hour workshop on PBL at The Center for Teaching Summer Institute (#CFTSI12 on Twitter). With this post (see below the bulleted list), we are hoping to encourage and support the most important part of any conference or institute for professional learning – the “taking-things-back-to-school-to-enhance-learning” part.

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (After 3)
Coffee and Dessert: What Will Sweeten Your Teaching After #CFTSI12?
(180 Days of Possibility in 2012-13 – Keeping the Conversation Going)

CHALLENGE: Many believe that this is actually the best part of the meal. The #CFTSI12 for Synergy and PBL is complete, but the fun, decadent portion has just begun. As we all know, peak learning tends toward project-based experiences, and students long remember the sweetness of the projects that they taste and savor. Additionally, Steven Johnson advocates for coffeehouse environments that create the conditions for great conversations and colliding hunches. So…let’s feed our sweet tooth and share in those magical after-diner-coffee conversations. When (not if!) you implement PBL with your student learners, share the plates and cups with the entire table – POST your writing, resources, insights, and struggles regarding your PBL implementations. If you have a blog, please consider cross-posting to Synergy2Learn as a contributing author. If you don’t have a blog of your own, we still invite you to post to our collective-wisdom site for PBL – Synergy2Learn.

  1. When you are ready to share and contribute, email Jill and Bo, and we will set you up as “contributors” to the Synergy2Learn PBL blog.
  2. After you are set up as a contributing author, you can keep on posting about your pursuits and accomplishments with PBL.
  3. Even if you did not physically participate in the #CFTSI12 for Synergy and PBL, this offer still applies!

_________

Coming Soon…

Amazing stories of PBL experiments, implementations, and accomplishments from our #CFTSI12 participants and blog readers (hopefully!)…

[Cross-posted on It’s About Learning and Synergy2Learn]

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (3 of 3) The Second Course: “School’s Cool” – PBL for the Student-Learner

[On Tuesday, June 26, as part of the Center for Teaching’s annual Summer Institutes, Bo Adams and Jill Gough are facilitating day 2 of a two-day workshop on PBL (project-based learning, problem-based learning, place-based learning, passion-based learning, etc.). The online course description is linked below, and the outline for day 2 follows. The pre-institute assignment (the “appetizers”) and a short description of the “flights” structure can be found here, and the outline for day 1 is here.]

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (3/3)
The Second Course: “School’s Cool” – PBL for the Student-Learner
(Day 2 – Tuesday, June 26, 8:30 a.m. – 1:30 p.m.)

EL #1: I can share my deep understanding of PBL through PBL methods and pedagogies, as well as with direct-instruction and conversation.

EL #2: I can commit to PBL with student learners by working through stages of rapid-prototype planning, implementing, and assessing.

8:30 – 9:15 a.m.
Fail more…Fail Faster (Failing to Plan is Planning to Fail Reprise) Flight

  1. With your partner, use your PBL storyboard and developing asset pool to continue building your PBL multi-media tool. Remember to review the good thinking and storyboarding of other groups – it’s not “stealing,” it’s sharing and collaborating!
  2. Review and revise assets you made for self-selected “HW” last night…recycle, re-design, re-purpose, re-build,…
  3. At 9:00, we’ll do a quick sub-team check-in – by jigsawing among sub-teams – before we move on with the next flight. (Suggested protocol: THE 5 WHYS)

9:15 – 10:00 a.m.
Bloom’s Got Nothin’ On Us Flight

  1. Quick exploration and discussion of pbl-PBL matrix, a.k.a. “Adams-Gough Taxonomy.”
  2. Quiet reflection – place some of your current project work on a copy of the Adams-Gough Taxonomy.
  3. Brief share-out and mediated journal of possibilities for working in capital-P PBL (upper-right quadrant).

10:00 – 11:00 a.m.
I Am Not a Commitment-phobe Flight

  1. Using DESIGN THE BOX or COVER STORY, create a model and story to share with the group. The model and story should share a PBL idea that you will commit to implementing with your student learners in the first semester of 2012-13.
  2. At 10:35, we will hear 2-3 minute presentations from each designer/group.
  3. During each presentation, contribute post-it feedback: 1) I like…, 2) I wonder…, 3) I want to know more about…

11:00 – 11:59 a.m.
Pardon Our Noise…It’s the Sound of PBL Construction Flight

  1. Time to complete the next iteration of your rapid-prototype design for the multi-media PBL tool.
  2. Time to workshop some of the feedback that undoubtedly will arise from the “I Am Not a Commitment-phobe” Flight.
  3. Time to question, question, question – they are waypoints on the path of wisdom.

12:00 p.m.
Lunch…PBL really stirs an appetite (especially on Day Two)!

12:30 – 1:30 p.m.
On the TEDxCFT/IGNITE Stage Flight

  1. Each sub-team will have 15 minutes: 5 minutes for presentation of their multi-media PBL tool + 8 minutes of Q & A + 2 minutes of transition.
  2. Don’t Get Stuck – You Have What It Takes to Make the Next Steps!
  3. Invitation to “Coffee and Dessert” Flight

_________

Coming Soon…

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (After 3)
Coffee and Dessert: What Will Sweeten Your Teaching After #CFTSI12?
(180 Days of Possibility in 2012-13 – Keeping the Conversation Going)

[Cross-posted on It’s About Learning and Synergy2Learn]

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (2 of 3) The First Course: “School Tools” – PBL for the Adult Palette

[On Monday, June 25, as part of the Center for Teaching’s annual Summer Institutes, Bo Adams and Jill Gough are facilitating day 1 of a two-day workshop on PBL (project-based learning, problem-based learning, place-based learning, passion-based learning, etc.). The online course description is linked below, and the outline for day 1 follows. The pre-institute assignment (the “appetizers”) and a short description of the “flights” structure can be found here.]

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (2/3)
The First Course: “School Tools” – PBL for the Adult Palette
(Day 1 – Monday, June 25, 8:30 a.m. – 1:30 p.m.)

EL #1: I can share my deep understanding of PBL through PBL methods and pedagogies, as well as with direct-instruction and conversation.

EL #2: I can commit to PBL with student learners by working through stages of rapid-prototype planning, implementing, and assessing.

CHALLENGE: Because you are attending this Center for Teaching Summer Institute on PBL, the CFT intends to use you as PBL leaders in 2012-13 (and beyond!). Westminster is furthering its Learning for Life vision, and Drew Charter is envisioning a PBL high school, so PBL leaders are high in demand! We want to help you prepare your PBL-leadership tool belt. By the end of this CFT-SI, you will build and present a multi-media resource about PBL that you can use to support a host of adult and student learners engaging in the complex wonder of PBL! Consider it a crucial deposit in the bank of visionary work! [We may even go Pecha-Kucha or Ignite style!]

Resources to consider including in PBL multi-media tool:

  • PBL Framework(s)
  • PBL “Expert Voices” from research and practice
  • PBL as “place-based,” “problem-based,” “passion-based,” as well as “project-based” [ideas around campus, Atlanta, etc.]
  • PBL Video Resources – pictures are worth 1000s of words!
  • Examples of PBL being tried and attempted/implemented
  • Interviews – voices from students and adults about how and what we want to learn
  • Ideas for PBL you intend to implement yourself

8:45 – 9:45 a.m.
Questions, Connections, & Empathy Flight

  1. POST-UP: What questions do you have about PBL and “the Challenge”, as well as questions about related opportunities such as integrated studies, teachers working in teams, etc.?
  2. AFFINITY MAP: What connections do we see in our questions and ideas?
  3. EMPATHY MAP: What’s it like to be a student? + provocations from “Writing-Is-Thinking” Flight of Pre-Assignments (How to Create an Empathy Map using Google Docs)

9:45 – 11:15 a.m.
School IS Real Life – From Simulations to Social Justice Flight

  1. World Peace and Other Fourth Grade Achievements – morning movie & popcorn!
  2. “Kiran Bir Sethi teaches kids to take charge” – and candy!
  3. Synergy 8 Ignite – and a Coke!

11:15 a.m. – 12:00 p.m.
Knowing Places and People Flights – Diners’ Choice

  • Learning Walk Flight – Armed with an iPad, laptop, or other smart device, explore, inquire, and record by…
  1. Capturing at least 3 pictures of people, places, or things that could spur PBL;
  2. Archiving at least 2 video interviews of people discussing a possible learning project, problem, or passion;
  3. Brainstorming at least 1 idea for a community project. [BONUS: Base it on a synergy of the above!]
  1. locally,
  2. nationally,
  3. globally.

12:00 p.m.
Lunch…PBL really stirs an appetite!

 12:30 – 1:30 p.m.
Failing to Plan is Planning to Fail Flight

  1. UNDERSTANDING CHAIN or GRAPHIC GAMEPLAN: With a partner, craft a storyboard of your PBL multi-media tool concept. With one or the other of these two Gamestorms, we will be able to co-post our “slides” or “path points” on a common game board so that we can share across groups.
  2. Begin building assets, as time permits!
  3. Rapid-prototype presentations of storyboards before we adjourn for the day.

_________

Coming Soon…

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (3/3)
The Second Course: “School’s Cool” – PBL for the Student-Learner
(Day 2 – Tuesday, June 26, 8:30 a.m. – 1:30 p.m.)

Synergy-PBL: Questions are waypoints on the path of wisdom #CFTSI12 (After 3)
Coffee and Dessert: What Will Sweeten Your Teaching After #CFTSI12?
(180 Days of Possibility in 2012-13 – Keeping the Conversation Going)

[Cross-posted on It’s About Learning and Synergy2Learn]

Synergy – Questions are the waypoints on the path of wisdom #MICON12

On Thursday, June 14, Bo Adams and Jill Gough are facilitating a double-session at The Martin Institute’s 2012 Conference (#MICON12 on Twitter). Below, conference participants and blog readers alike can find an outline of our session (at least as we intend it before we start!), complete with links to the resources we plan to use.

Synergy – Questions are the waypoints on the path of wisdom (Framework Plans) [100 minutes]

  1. Marshmallow Challenge [18 minutes + setup + debrief = 30 minutes]
  2. Synergy 8 Preso + Showcase Project Products/Q&A [15 minutes + 15 minutes = 30 minutes]
  3. Reading from The Falconer re: Questions [5 minutes]
  4. Gamestorm to share about others’ experiences/practices with PBL (see “Post-Up”) + Gamestorm to generate future ideas for PBL (see “Storyboard”) [30 minutes]
  5. Wrap-Up + Goodie Bag[5 minutes]
    1. “7 Essentials for Project-Based Learning” article + “4 A’s” protocol
    2. Peak Learning Experience Exercise – “Think about your own life and the times when you were really learning, so much and so deeply, that you would call these the ‘peak learning experiences’ of your life. Tell a story (you may include pictures, symbols, or other icons, too) about this peak learning experience, and respond to the question, ‘What were the conditions that made your high-level experience so powerful and engaging?'(adapted from 21st Century Skills: Learning for Life in Our Times, Trilling and Fadel, 2009). Jill and Bo often use this prompt as a pre-writing exercise in order to connect people with the project-based nature of our most enduring learnings throughout life.
    3. Synergy2Learn (resource on PBL)
    4. Synergy 8 Logo, Essential Learnings, and Learning Targets (via Scribd) [also embedded below]

Title of the Conversation
Synergy – Questions are the waypoints on the path of wisdom

Conversational Focus/Audience
High School
Middle School
Upper Elementary School

Short Description
Like a tribe around the fire, let’s discuss how we implement PBL as an entire course or as an input to a class. The conversation starters will describe Synergy – an 8th grade community-issues course. Then, through story exchange, we will share a variety of PBL ideas and implementation methods.

Extended Description
In Westminster’s 8th grade, we are experiencing year two of a new course called “Synergy 8.” Synergy is a non-departmentalized, transdisciplinary, non-graded, community-issues, problem-solving course. While we begin with an “alpha project” to practice project process, we use the “Falconer” method to empower student questioning and curiosity. From the student questions, the entire team generates the projects on which learners of all ages ultimately work.

Our conversational focus will be PBL (project-based learning, problem-based learning, passion-based learning, place-based learning, etc.). We intend to generate ideas from an exchange of current practices and possibilities. We hope to move beyond mere conversation and bridge into collaboration by building for the future more student-learner generated PBL…perhaps even “big, hairy audacious” PBL that unites our various schools and increases the mass of folks working on the problems which define our world.

For more detailed stimulus about “Synergy” and “PBL,” see categories and tags on Bo’s and Jill’s blogs: It’s About Learning (Bo’s blog) and Experiments in Learning by Doing (Jill’s blog).

[Cross-posted at It’s About Learning]